An example of a quadratic sequence is: 2, 4, 8, 14, 22 When we find the difference line we obtain 2 4 8 14 22 2 4 6 8 The difference line is not constant so it cannot be an arithmetic sequence. However we can construct a second difference line – the difference between the […]

## Volume

A prism is a shape with a constant cross section, in other words the cross-section looks the same anywhere along the length of the solid (examples: cylinder, cuboid). The volume of a prism = the area of the cross-section × the length. So, for example, the volume of a cylinder area of a triangle = […]

## Finding the Highest Common Factor (HCF) of Two Numbers

The highest common factor is the largest number that divides two number. For example the highest common factor of 6 and 8 is 2 because 2 divides 6 and 2 divides 8 but there is no larger number that divides both 6 and 8. Alternatively we could write down all the factors of 6 in […]

## Mode, Median and Mean

There are three useful measures of average: The Mode is the most common. The Median is found by writing the list in order. For a list of numbers – which we typically have – we write them in order of size from smallest to largest. If the list has an “odd number of numbers” the […]

## Standard Form

A number is expressed in standard form if it is written aswhereis any integer, positive, negative or zero. For example,andandare all written in standard form. We are usually give a number and asked to write it in standard form: Example: Write 342 in standard form Example: Write 0.00045 in standard form Example: Write 3 in […]